The answer is 77520.
What is meant by decimal notation?Decimal notation is an alternative way to represent fractional values in mathematics. This indicates that base 10 is being used for the fractional representation. Both the fractions and decimals can be transformed. For instance, the decimal representation of the fraction 5/10 is 0.5.Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is considered standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.Because they represent a portion of a whole number, decimals are equivalent. The distinction is that fractions and decimals are written using different notations. We can visually estimate how much of a full number we are working with thanks to decimal notation.How many different (ordered) playlists are possible?
Number of possible playlists = 77520
Explanation:
Total number of songs = 20
Songs in the playlist = 7
So, we need to select 7 songs out of 20. This can be done using combinations.
n = 20 , r=7
C( n , r ) = ?
C( n , r ) = C (20 , 7)
= 20! / ( 7! (20-7)!)
= 20! / ( 7! × 13! )
= 77520
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Find the distance.
1. (-2,2) (4, -1)
2. (-3,-5) (2, 5)
3. (-4,0). (2, 3)
Answer:
1)3√5
2)5√5
3)3√5
Write each expression as a single natural logarithm. ln 3+ ln 4
Expression as a single natural logarithm is 2.48490664979.
What is natural logarithm?
ln 3+ ln 4
ln (3×4)
ln(12) =2.48490664979
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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Refer
to the rectangle at the right. Suppose the side lengths
are doubled.
a.
Find the percent of change
in the perimeter.
in the area.
b. Find the percent of change
If x and y vary inversely and x = 2.5 when y = 100 find x when y = 25
Answer:
the answer is b
Step-by-step explanation:
thnx
Hey, i really need help simplifying radicals. i dont know how to simplify with negatives, could someone give a step-by-step for this one? -6√150r
The simplified expression of -6√150 is -150√6
How to simplify the expression?The expression is given as
-6√150
Express 150 as 25 * 6
So, we have
-6√150 = -6√(150 * 6)
Take the square root of 25
So, we have
-6√150 = -6 * 25√6
Evaluate the product
-6√150 = -150√6
Hence, the simplified expression of -6√150 is -150√6
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Describe in words the transformations that map angle ABC to angle A'B' C'. Make sure that you add special details.
The translation rule that maps ABC to A'B'C' is (x, y) ⇒ (x + 3, y + 6)
What is transformation?Transformation is the movement of a point around the coordinate plane. Types of transformations are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
The translation rule that maps triangle ABC to angle A'B'C' is (x, y) ⇒ (x + 3, y + 6)
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Find the surface
area of the
triangular prism
using the net.
7 cm
5 cm
4 cm
6 cm
5 cm
The surface area of the triangular prism is 136 cm square.
How to find the surface area of a triangular prism?The surface area of a triangular prism can be found as follows;
Therefore,
surface area of a triangular prism = (perimeter of the triangle × height of prism) + (2 × base area)
Hence,
perimeter of the triangle = 5 + 5 + 6
perimeter of the triangle = 16 cm
height of prism = 7 cm
base area = 1 / 2 bh
base area = 1 / 2 × 4 × 6
base area = 24 / 2
base area = 12 cm²
Therefore,
surface area of a triangular prism = (16 × 7) + (2 × 12)
surface area of a triangular prism = 112 + 24
surface area of a triangular prism = 136 cm²
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Round 4328 to 1 significant figure
Round 25446 to 1 significant figure
Round 38562.7 to 1 significant figure
Round 87600.2 to 1 significant figure
1) Rounding up 4328 to 1 significant figure will give us; 4000
2) Rounding up 25446 to 1 significant figure will give us 30000.
3) Rounding up 38562.7 to 1 significant figure will give us; 40000
4) Rounding up 87600.2 to 1 significant figure will give us; 90000
When talking about significant figures with whole numbers, we mean all non - zero whole numbers. They include;
Any non-zero digit.Zeros between non-zero digits such as 4004 or 98.50007.Trailing zeros only when there is a decimal point as in 7580. or 394.2200.1) Rounding up 4328 to 1 significant figure will give us; 4000
2) Rounding up 25446 to 1 significant figure will give us 30000.
3) Rounding up 38562.7 to 1 significant figure will give us; 40000
4) Rounding up 87600.2 to 1 significant figure will give us; 90000
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help pleaseeeeeee ty
Answer: I think the answer is never but I'm not sure
Step-by-step explanation:
HELP MEEEEEE ❓❓❓⁉️⁉️⁉️⁉️⁉️
A) two rational roots
B) two unrational roots
C) two equal roots
D) two unequal real roots
E) two non real complex roots
The nature of the roots in the given quadratic equation (x - 3)² + (x - 4)² = 0 is; A: two rational roots
What are the roots of the Quadratic Equation?We are given the quadratic equation;
(x - 3)² + (x - 4)² = 0
Now, some of the rules in naming the roots are;
If b² – 4ac > 0, then the roots are real and unequal
If b² – 4ac = 0, then the roots are real and equal
If b² – 4ac < 0 then the roots are unequal and Imaginary
If b² – 4ac > 0 (is a perfect square), then the roots are real, rational and unequal
If b² – 4ac > 0 (is not a perfect square), then the roots are real, irrational and unequal
From the above rules and comparing to our given equations, it is clear that we have two rational roots which are x = 3 and x = 4.
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I need it solved algebraically
Answer:
cos (-1 • 0^2) = 1
Step-by-step explanation:
Plug in the value x=0
Aidan is doing a multiple choice test with 20 questions he scores 3 marks for a correct answer and loses 1 mark if the answer is incorrect he answered all questions and scored 40 marks how many we questions were correct
Answer: 10 answers correct and 10 answers incorrect
Step-by-step explanation:
60 is the highest total assuming every one was correct
20 is the lowest total assuming every one was incorrect
40 is the middle meaning he got half write half wrong
Half of 20 is (10) (10 x 3 = 30 ) + ( 10 x 1 = 10 ) 30 + 10 = 40
Answer: 13.3 repeating is what I got see if it make sense according to my work
Step-by-step explanation: 20x3=60, and one mark per wrong answer, so 60-40=20 wrong. So, 40 divided by 3=13.3 repeating
It says to solve for
The angle of ∠FEG is 58 degrees
How to find angles?The angle DEF is a right angle.
Therefore,
∠DEF = 90°
Hence,
∠FEG + ∠GED = ∠DEF
∠FEG = 5x - 22
∠GED = 2x
∠DEF = 5x - 22 + 2x
90 = 5x + 2x - 22
90 = 7x - 22
90 + 22 = 7x
112 = 7x
divide both sides by 7
x = 112 / 7
x = 16
∠FEG = 5x - 22
∠FEG = 5(16) - 22
∠FEG = 80 - 22
∠FEG = 58°
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How many zeros does this 7.185629 x 10^2985 have?
Answer: 2979 Zeroes
Step-by-step explanation:
1. Figure out what 10^2985 is. (It's one followed by 2985 zeroes).
2. Using that knowledge, make 7.185629 a whole number. To do that, you need to multiply it by a number that has the same number of zeroes as it does to move the decimal place one by one to the right. In this case, it is 1,000,000, because it has 6 zeroes and you need to move the decimal point past 6 numbers (after 7 in 7.185629).
3. Subtract 2985 by 6, because you used 6 zeroes.
4. This gives you the answer 2979 zeroes because 2985 zeroes - 6 zeroes= 2979 zeroes.
HELP PLEASEEEEEEEEEEEEEEEEEEE
Answer:
Distributive property is the answer
4350 g = how many kilograms
Answer:
4.35
Step-by-step explanation:
Answer:
4.35 kilo
Step-by-step explanation:
What is nine thousand one hundred ninety-one in number form
The nine thousand one hundred ninety-one in number form is 9191
nine thousand one hundred ninety-one in number form is written as
9000+100+90+1=9191
Numbers may be represented in language with range phrases. more universally, person numbers may be represented through symbols, called numerals;
for example, "five" is a numeral that represents the wide variety five. As handiest a fairly small wide variety of symbols may be memorized, primary numerals are commonly organized in a numeral system, which is an organized way to represent any quantity.
The maximum commonplace numeral device is the Hindu–Arabic numeral machine, which allows for the illustration of any quantity the use of a mixture of ten fundamental numeric symbols, called digits
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5 2/3 divided by 3??........................
Answer:
The answer is 17/9.
Step-by-step explanation:
5 2/3 = 17/3
3 = 2 3/3
17/3 / 9/3
17/3 * 3/9
= 17/9
I need help with this today please!
Answer:
kevin ate 1/6 more than Kathy or un simplified, 2/12
Step-by-step explanation:
least common denominator
, If two angles add up to 90°, then they are not supplementary
What’s the contrapositive?
Answer:
supplementary means the angles add upto 180 degrees. The name for 2 anglew which add upto 90 degrees is "complimentary".
Please help me fill in the blanks
A line with a positive slope slants (blank) and to the right. A line with a negative slope slants (blank) and to the right. A (blank) line has zero slopes. A (blank) line has an undefined slope.
Answer:
Find the Slope from a Graph
Identify rise and run from a graph
Distinguish between graphs of lines with negative and positive slopes
Find the Slope from Two Points
Use the formula for slope to define the slope of a line through two points
Find the Slope of Horizontal and Vertical Lines
Find the slope of the lines
x
=
a
and
y
=
b
Recognize that horizontal lines have slope = 0
Recognize that vertical lines have slopes that are undefined
Identify slopes of parallel and perpendicular lines
Given a line, identify the slope of another line that is parallel to it
Given a line, identify the slope of another line that is perpendicular to it
Interpret slope in equations and graphs
Verify the slope of a linear equation given a dataset
Interpret the slope of a linear equation as it applies to a real situation
Identify slope from a graph
The mathematical definition of slope is very similar to our everyday one. In math, slope is used to describe the steepness and direction of lines. By just looking at the graph of a line, you can learn some things about its slope, especially relative to other lines graphed on the same coordinate plane. Consider the graphs of the three lines shown below:
You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope. Let’s look at an example.
EXAMPLE
Use the graph to find the slope of the line.
A line that crosses the points (2,1) and (6,3). A blue line labeled Rise goes up two units from the point (2,1). A red line labeled Run goes left from the point (6,3) so that it forms a triangle with the main line and the Rise line. A formula says slope equals rise over run.
Show Solution
This line will have a slope of
1
2
no matter which two points you pick on the line. Try measuring the slope from the origin,
(
0
,
0
)
, to the point
(
6
,
3
)
. You will find that the
rise
=
3
and the
run
=
6
. The slope is
rise
run
=
3
6
=
1
2
. It is the same!
Let’s look at another example.
EXAMPLE
Use the graph to find the slope of the two lines.
A graph showing two lines with their rise and run. The first line is drawn through the points (-2,1) and (-1,5). The rise goes up from the point (-2,1) to join with the run line that goes right to the point (-1,5). The second line is drawn through the points (-1,-2) and (3,-1). The rise goes up from the point (-1,-2) to join with the run to go right to the point (3,-1).
Show Solution
When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line,
1
4
. The greater the slope, the steeper the li
Step-by-step explanation:
In holly jewelry box 50% of the jewelry is bracelets and the rest is necklaces.If holly has 30 bracelets,How many pieces of jewelry is in her jewelry box
simplify -x^2(3x^2-2x-4)
Answer:
-3x^{4}+2x^{3}+4x^{2}
Step-by-step explanation:
Re-order terms so constants are on the left
-x^{2}\left( 3x^{2}-2x-4\right)
-x^{2}\left( 3x^{2}-2x-4\right)
2
Distribute
-\textcolor{#C58AF9}{x^{2}\left( 3x^{2}-2x-4\right) }
-\left( \textcolor{#C58AF9}{3x^{4}-2x^{3}-4x^{2}}\right)
3
Distribute
-\left( 3x^{4}-2x^{3}-4x^{2}\right)
-3x^{4}+2x^{3}+4x^{2}
Convenient store sold 8.5 pounds 6.26 Ibs 9.2 Ibs and 4.54 Ibs of apples each week during one month is the store started at out the month with an inventory of 46.2 Ibs of apples how many were left at the end of the month
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP 100 POINTS.
A group of friends wants to go to the amusements part, they have no more than $235 to spend on parking and admission, Parking is $17.50 and tickets cost over $36.25 per person, including tax. Use the drop down menu below to write an inequality representing p, the number of people who can go to the amusement park.
Which inequality ≥ or ≤
then what is Answer
p (Inequality) _____
Answer:
P [tex]\leq[/tex] 6
Step-by-step explanation:
Set up Equation:
17.50 + 36.25(p) [tex]\leq[/tex] 235
Simplify Expression to Solve for how many people can go the park, using inverse operations.
36.25(p) [tex]\leq[/tex] 235 - (17.50)
36.25(p) [tex]\leq[/tex] 217.5
p [tex]\leq[/tex] 217.5/36.25
p [tex]\leq[/tex] 6
Therefore, no more than six people can attend the amusement park.
Is y=e (x+7) a natural base exponential function?
We need to know about natural exponential function to solve the problem. The given function is a natural base exponential function.
An exponential function is a function in which x is an exponent. An exponential function has an exponential graph that keeps growing. A natural base exponential function is one where the base of the function is e which is a mathematical constant and is approximately equal to 2.71828. The inverse of a natural exponential function is a logarithmic function. An exponential function is of the form y=[tex]b^{x}[/tex] where b is the base, in a natural base exponential function, the b is replaced by e which means y=[tex]e^{x}[/tex]. In the given question y=[tex]e^{x+7}[/tex] is a natural base exponential function since the base is the natural base.
Therefore we found that the given function is a natural base exponential function.
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Solve. Check for extraneous solutions. (7 x+6)¹/₂-(9+4 x)¹/₂=0
No Extraneous solution
The given equation is
( 7x + 6 ) ^ 1/2 - (9 + 4x ) ^ 1/2 = 0
We have to find the value of x
[tex]\sqrt{7x + 6}[/tex] = [tex]\sqrt{9 + 4x}[/tex]
Squaring both sides of the equation
[tex](\sqrt{ 7x + 6} )^{2}[/tex] = [tex](\sqrt{9 + 4x})^{2}[/tex]
7x + 6 = 9 +4x
3x = 3
x = 1
To know whether the value of x is the extraneous solution or not, put the value of x in the equation
[tex]\sqrt{7 * 1 + 6}[/tex] -[tex]\sqrt{ 9 + 4 * 1}[/tex] = 0
[tex]\sqrt{13}[/tex] - [tex]\sqrt{13}[/tex] =0
0 = 0
Therefore there is no extraneous solution to the equation as x = 0 is the solution of the equation.
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Given the measures of three angles of a triangle, explain how to find the ratio of the lengths of two sides of the triangle.
You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.
Bill weighs 53kg.This is more than Juan. How much does Juan weigh
Answer:
Step-by-step explanation:
Answer:
This is more than Juan
Step-by-step explanation:
Find each product or quotient. 7√7 . 3√7
The given expression can be solved by determining the product of irrational numbers.
Irrational number is a real number that cannot be expressed as the quotient of two integers. If a square root of a number is not a perfect square root, then it is an irrational number.
In the given expression, there are two rational numbers 7 and 3 while two irrational numbers √7 and √7.
The integer 7 and 3 can be multiplied. Hence,
7√7*3√7=7*3*√7*√7=21*√7*√7
When multiplying terms in square root, √a*√b=√ab. Hence,
21*√7*√7=21√7*7
As square root of a number is the number multiplying itself i.e., √a*a=a
21√7*7= 21*7=147
The product of the expression 7√7.3√7 is 147
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